chochmah

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Breaking Symmetry

And Moses turned, and went down from the mount, with the two tablets of the testimony in his hand; tablets that were written on both their sides; on the one side and on the other were they written. And the tables were the work of G‑d, and the writing was the writing of G‑d, graven upon the tables… And it came to pass, as soon as he came nigh unto the camp, that he saw the calf and the dancing; and Moses' anger waxed hot, and he cast the tablets out of his hands, and broke them beneath the mount. (Ex. 32:15-19) The Torah portion Ki Tisa (Ex. 30:11-34:35) is, perhaps, has one of the most enigmatic episodes in the Torah—the breaking of the Tablets of the Covenant. The sin of the Golden [...]

By |2018-03-04T18:54:42-05:00March 4th, 2018|Uncategorized|2 Comments

Chayei Sarah – where Kabbalah meets physics

And these are the years of the life of Ishmael: one hundred years and thirty years and seven years (Gen. 25,17) You might say the ‘hand of G‑d’ wrote that number [137] – Richard Feynman The mystery about α is actually a double mystery. The first mystery – the origin of its numerical value α ≈ 1/137 has been recognized and discussed for decades. The second mystery – the range of its domain – is generally unrecognized. — Malcolm H. Mac Gregor, M.H. MacGregor (2007). The Power of Alpha. World Scientific. p. 69. Kabbalah is the esoteric level of the Torah. The word “kabbalah” (קבלה) literally means “receiving” or “received [wisdom].” The gematriah (numerical value) of the word “kabbalah” is 137: Kuf (100) + Bet (2) + Lamed (30) + Heh (5) = 137. This number appears explicitly for the first time [...]

The Fifth Force

Now, therefore, write ye this song for you, and teach thou it the children of Israel.” (Deut. 31:19) The four known fundamental forces are: gravitational force, electromagnetic force, strong (nuclear) force, and the weak force (beta decay). Newton first described the gravitational force in his famous universal law of gravity. Today, we use Einstein’s General Theory of Relativity to describe gravitation fields. Electromagnetism was described in the 19 c. by Faraday and Maxwell. Strong and week forces were discovered much later, in the second half of the 20 c. Since Albert Einstein started a search for unified field theory, unsuccessfully trying to unify (describe by a single theory) gravity and electromagnetism, the quest for a unified field theory – the “Theory of Everything” – became the holy grail of theoretical physics. Strong and [...]

Fractal Patterns in the Torah

In the Torah portion Emor (Leviticus 21:1–24:23), we are instructed to abstain from work every seventh day on Shabbat. Next week’s Torah portion, Behar, continues this theme and instructs us to abstain from agricultural work every seventh Sabbatical year, Shmita. And the Torah doesn’t stop there. It instructs us to count seven Shmitas and then observe a Jubilee, Yovel. Do you notice a pattern? Every seven days, every seven years, every seven Shmitas… Furthermore, the Midrash states the world will exist for seven thousand years with the seventh millennium being a thousand years of the kingdom of Mashiach (Messiah)—yom shekuloy Shabbat—one long Shabbat. A second-century sage, Rabbi Huniah ben HaKanah, interprets this Midrash to mean that the world will last seven Cosmic Shmitas, i.e., 49 thousand years (which, according to a prominent 13th–14th [...]

Shabbat in Numbers

Last week Torah portion, Emor, speaks about the prohibition of working on Shabbat. In fact, the Talmud enumerates precisely 39 categories of labor forbidden on Shabbat. But why 39? Rabbi Shimon b’ Rabbi Yossi ben Lakunya (Shabbat 49b) suggests that the number 39 can be derived from the number of times the various forms of the word “melacha” (work) appear in the Torah. Unfortunately, it’s not easy to see how this works out. In his commentary on this passage, Rabbi Hananel ben Hushiel (990-1053) already pointed out that this word appears 61 times in the Torah, not 39! Actually, this word actually appears 63 times! Another Talmudic Sage, Rabbi Chanina of Sepphoris derives the number 39 homiletically strenuously computing gematria of the phrase, “These are the things.” (Shabbat 7:2) The lack of clear [...]

Balak – Interference of Souls

Balak the son of Zippor saw all that Israel had done to the Amorites. Moab became terrified of the people, for they were numerous, and Moab became disgusted because of the children of Israel. Moab said to the elders of Midian, "Now this assembly will eat up everything around us, as the ox eats up the greens of the field. Balak the son of Zippor was king of Moab at that time. He sent messengers to Balaam the son of Beor, to Pethor, which is by the river of the land of his people, to call for him, saying, "A people has come out of Egypt, and behold, they have covered the 'eye' of the land, and they are stationed opposite me. So now, please come and curse this people for me, for [...]

On Change

We all know that we leave in a three-dimensional world. Up-down, right-left, forward-backward – these are well-familiar to us directions in three dimensions of space we occupy. However, we also live in a three-dimensional world of another kind. In physics, we have units of measurement. There are lots of them, but only three are fundamental – all other are various combinations of these three – meter, second and kilogram (yes, in science, we use metric rather than Imperial units). We measure space in meters (m), we measure time in seconds (s) and we measure mass in kilograms (kg). These three units are fundamental in a sense that they are irreducible and all other units are combinations of meter (m), second (s) and kilogram (kg) (please note that in this context, kilogram is not [...]

By |2019-03-26T16:45:52-04:00May 16th, 2015|Uncategorized|0 Comments

The End of Days I

In this Torah portion, Vayechi, Jacob, gathers his children to reveal to them “Ketz HaYamim”–“the End of Days.” Rashi explains that Jacob’s intention was to reveal the date of the coming of Mashiach (Messiah). Jacob called for his sons and said, "Gather and I will tell you what will happen to you at the end of days. (Gen. 4:1) However, he proceeds rebuking his sons without revealing to them the Ketz — End of Days. Rashi says that Jacob looked into the future and saw his children being in exile for a long time. Rashi says that the word “ketz” (end)—spelled in Hebrew Kof-Tzadik—has the numerical value of 190. (Kof=100, Tzadik=90. 100+90=190). Jacob gazed 190 years into the future and saw his children still enslaved in Egypt. He became depressed and Shechinah (Divine Presence) left him. [...]

Mezuzah in Three Dimensions

The mezuzah is one of the few miẓvot ([divine] "commandments") for which the Torah states its reward. In this case, the reward is a long life for oneself and one's children: And you shall inscribe them on the doorposts ("mezuzot") of your house and on your gates, so that your days and the days of your children may be prolonged upon the land which the Lord swore to give to your fathers for as long as the heavens are above the earth. Deuteronomy 11:20-21 According to the Tosafot and the Shulḥan Aruch, the main function of the mezuzah is to protect the house from evil. Because of this attribute, the mezuzah has been called "the coat of arms in the knighthood of G‑d."* To begin to understand the mechanism of this effect of the [...]

The Final Frontier

In this Torah portion, Devarim (Deuteronomy 1-3), Moses recalls the travels through the Sinai desert when G‑d told him: Be not at enmity with Moab, neither contend with them in battle; for I will not give thee of his land for a possession. (Deuteronomy 2:9) To put this into context, let us recall the covenant of the pieces (or covenant between the parts, Heb. Brit Bein HaBetarim), when G‑d promised Avraham: On that day the Lord made a covenant with Abram, saying: “Unto thy seed have I given this land, from the river of Egypt unto the great river, the river Euphrates; the Kenite, and the Kenizzite, and the Kadmonite, and the Hittite, and the Perizzite, and the Rephaim, and the Amorite, and the Canaanite, and the Girgashite, and the Jebusite.” (Genesis 15:19-21) The medieval [...]

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